Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350u |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8288449218750 = 2 · 3 · 59 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-100438,-12259258] |
[a1,a2,a3,a4,a6] |
j |
7171303860679321/530460750 |
j-invariant |
L |
4.2908855255742 |
L(r)(E,1)/r! |
Ω |
0.26818034534839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800bw4 13050g3 870a3 126150a4 |
Quadratic twists by: -4 -3 5 29 |